Today we will look at the classification of fractions: What types of fractions are there?

We can classify them according to the relationship between the numerator and denominator.

###### Proper Fraction

Those representing a number less than 1. And how are these fractions identified? All fractions that represent numbers less than 1 are characterized by having a numerator lower than the denominator. For example:

Improper Fraction

Those that represent numbers greater than 1. And how are these fractions identified? All fractions that represent numbers greater than 1 are characterized by a numerator greater than the denominator. For example:

###### Fractions equal to one

Those whose value equals 1. They are characterized by the numerator and denominator being equal.

###### Examples of Fraction Classification

Let’s look at some examples of classifying fractions:

\( \frac{25}{27} \) **< 1** because the numerator is **less** than the denominator: It is a **proper fraction.**

\( \frac{1}{2} \) **< 1** because the numerator is **less** than the denominator: It is a **proper fraction.**

\( \frac{5}{4} \) **> 1** because the numerator is **greater** than the denominator: It is an **improper fraction.**

\( \frac{180}{180} \) **= 1** because the numerator **equals** the denominator: It is a **fraction equal to one.**

\( \frac{36}{3} \) **> 1**, because the numerator is **greater** than the denominator: It is an **improper fraction.**

\( \frac{6}{6} \) **= 1** because the numerator **equals** the denominator: It is a **fraction equal to one.**

\( \frac{4}{2} \) **> 1** because the numerator is **greater** than the denominator: It is an **improper fraction.**

\( \frac{10}{10} \) **= 1** because the numerator **equals** the denominator: It is a **fraction equal to one.**

\( \frac{200}{279} \) **< 1** because the numerator is **less** than the denominator: It is a** proper fraction.**

What did you think of this post? Did this help you to better understand the **classification of fractions**? If you would like to learn more about elementary math, don’t hesitate to register with Smartick and try our method for free.

Learn More:

- Practice Estimating Fractions with Examples
- Understand What a Fraction Is and When It Is Used
- Using Lego Blocks to Help with Addition of Fractions
- Understanding Fractions: “If the Whole Is Made of 8 Parts, How Can I Have 11?”
- Using Mixed Numbers to Represent Improper Fractions